Question

A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equations that can be used to find x, the cost of each jersey, and y, the cost of each pair of shorts is shown.

12x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answer 1

The cost of each jersey is $8 dollar and that of shorts is $5

System of equation

This are expression that contain unknown equation and two or more equation.

According to the question, a soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equation that represent the expression is given as;

12x + 12y = 156

4x + 6y = 62

____________
6x + 6y = 78

4x + 6y = 62

Subtract

6x-4x = 78 - 62

2x = 16

x = 8

since 4x + 6y = 62

2x+3y = 31

2(8) + 3y = 31

3y = 31-16

3y = 15

y = 5

Therefore the cost of each jersey is $8 dollar and that of shorts is $5

Learn more on system of equation here: https://brainly.com/question/25976025

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